In late season seven Rory calls Lorelai to ask how they celebrated her eighth birthday party. Through the conversation the girls conclude that the theme was a teddy bear tea party. However, in early season one the girls tell Luke about one of Lorelai's famous blowouts and Rory's best birthday party, her eighth, and that the cops shut them down and arrested the clown.
When Rory first moved in with Paris and Doyle, Paris told her they always keep the door locked, even when they're home. When Lorelai goes to their apartment at 6 am, Paris tells her to come in, the door is open.
When Lorelai and Rory are on their drive and run out of gas, Lorelai says that she's never run out of gas before. However, in season 1, when Rory ran away to her grandparents, Lorelai told Luke that she ran out of gas driving halfway to Hartford and back to get Rory.